I will go for AGM lead acid battery but I think I should ask Friedrich Schaefer to help me for correcting battery sound with capacitors or dc filters.
Amir. Use Lithium. Here is why.
1 energy density. To get 100AH of storage, your going to need about 3 x 100 lb batteries. A.single 100 lb lithium will equal the same storage.
2nd and more important. You can draw a lithium battery down to 20% charge around 3000 times.
You can only draw led acid down to 50%. And it might only do it 500 times.
This has major cost and performance implications. For one, to have 100 AH of power, you would actually need about 160AH of led acid battery. Do the math. 100 AH to 20 AH vs 100 AH to 50 AH.
Lithium is also very voltage stable till you get to about 10% left. Then it falls off very fast. A led acid is a steady decline of voltage.
When you math the cost of how many batteries you would need, how little you can discharge them and how quickly they need.to be replaced, lithium is the same price as led acid. Maybe less.
AND, led acid should be stores in a vault where any leaking gasses are discharged. This is not as much an issue with AGM. But it is absolutely a building and nec code requirement for wet batteries.
Just get lithium. Buy Abyss Batteries. Marine grade. Excellent internal BMS protection. Good support. Get the 105AH 48 volt golf cart battery.
I am a dealer, but I can't help you. Write them direct. I can show you how to fuse and cable them to the inverter. I have good all copper, silver plated 100A disconnect plugs to use in the cabling to make moving things around in the room easy. Get FTZ Marine compression lugs. Deoxit all your connections.
Edit, Lithium charges much faster. You can dump power into a lithium.
Rex